Method on @sym: horner (p) ¶

Method on @sym: horner (p, x) ¶

Convert a symbolic polynomial to Horner form.

The Horner form minimizes the number of arithmetic operators to evaluate the polynomial.

Example:

syms x
p = poly2sym ([2 4 6 8], x)
  ⇒ p = (sym)
         3      2
      2⋅x  + 4⋅x  + 6⋅x + 8
horner (p)
  ⇒ ans = (sym) x⋅(x⋅(2⋅x + 4) + 6) + 8

You can specify the variable as a second input:

syms x a
p = expand((a+2)*(2*a+x)*(3*a+7));
horner(p, a)
  ⇒ ans = (sym) a⋅(a⋅(6⋅a + 3⋅x + 26) + 13⋅x + 28) + 14⋅x

See also: poly2sym.

Package: symbolic